limit as x approaches-1+of (x+1)/(|x+1|)

Lösung

x \to - 1 + lim (\frac{x + 1}{∣ x + 1 ∣})

1

Schritte zur Lösung

x \to - 1 + lim (\frac{x + 1}{∣ x + 1 ∣})

x + 1

ist positiv wenn

x \to - 1 +

. Deshalb

∣ x + 1 ∣ = x + 1

= x \to - 1 + lim (\frac{x + 1}{x + 1})

Vereinfache

= x \to - 1 + lim (1)

x \to a lim c = c

= 1

x \to - lim (2 \frac{3}{x + 2})

x \to 1 lim (ln (\frac{x}{x + 1}))

x \to 1 + lim (\frac{3 x}{∣ 1 - x ∣})

x \to 2 lim (sec (2 π))

x \to 1 lim (x sin (\frac{1}{x - 1}))